A university football stadium has 81,500 seats. The stadium is at full capacity on game day. Layla believes only 79,000 seats are occupied. Find the percent error of Layla’s prediction. Round your answer to the nearest hundredth of a percent.(1 point) Responses
To find the percent error, we need to compare Layla's prediction to the actual number of seats occupied.
Actual number of seats occupied: 81,500
Layla's prediction: 79,000
Percent error = (|Actual - Predicted| / Actual) * 100
Percent error = (|81,500 - 79,000| / 81,500) * 100
Percent error = (2,500/81,500) * 100
Percent error ≈ 3.07%
Therefore, the percent error of Layla's prediction is approximately 3.07%.
To find the percent error of Layla's prediction, we first need to calculate the difference between the actual number of seats occupied and Layla's predicted number of seats.
Actual number of seats occupied = 81,500
Layla's predicted number of seats occupied = 79,000
Difference = Actual number of seats occupied - Layla's predicted number of seats occupied
Difference = 81,500 - 79,000 = 2,500
Next, we need to find the percent error, which is given by the formula:
Percent error = (Difference / Actual number of seats occupied) * 100
Percent error = (2,500 / 81,500) * 100
Calculating this value, we find:
Percent error = 0.03067 * 100
Rounding to the nearest hundredth of a percent, the percent error of Layla's prediction is approximately 3.07%.
To find the percent error of Layla's prediction, we need to find the difference between her prediction and the actual number of seats occupied, then divide it by the actual number of seats occupied and multiply by 100 to express it as a percentage.
Let's calculate it step by step:
1. Actual number of seats occupied: 81,500
2. Layla's prediction: 79,000
3. Calculate the difference: 81,500 - 79,000 = 2,500
4. Calculate the absolute value of the difference: |2,500| = 2,500
5. Calculate the percent error: (2,500 / 81,500) * 100 = 3.06%
Therefore, the percent error of Layla's prediction is approximately 3.06%.